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Let's break down the solution to the two questions asked:

1. **Calculating the Average Daily Balance**

   The average daily balance is calculated by summing the balances for each day in the month and dividing by the number of days (30 days in April). We need to consider the balance on each day in the intervals provided by each date in the table.

   **Steps**:
   - **April 1-6**: Balance = $1,500.00 for 6 days.
   - **April 7-10**: Balance = $1,528.40 for 4 days.
   - **April 11-19**: Balance = $1,328.40 for 9 days.
   - **April 20**: Balance = $1,423.40 for 1 day.
   - **April 21-29**: Balance = $1,434.40 for 9 days.
   - **April 30**: Balance = $1,499.30 for 1 day.

   Now, calculate the total balance sum for these days and divide by 30.

   \[
   \text{Total Sum} = (1,500 \times 6) + (1,528.40 \times 4) + (1,328.40 \times 9) + (1,423.40 \times 1) + (1,434.40 \times 9) + (1,499.30 \times 1)
   \]
   \[
   \text{Average Daily Balance} = \frac{\text{Total Sum}}{30}
   \]

2. **Calculating the Finance Charge**

   The finance charge is based on the average daily balance, using the monthly interest rate derived from the annual rate of 16.65%.

   - **Monthly Interest Rate** = $ \frac{16.65\%}{12} = 1.3875\% $
   - **Finance Charge** = Average Daily Balance $\times 0.013875$

I’ll work out the calculations next:

#### Calculations

1. **Total Sum for Average Daily Balance**:
   \[
   (1,500 \times 6) = 9,000
   \]
   \[
   (1,528.40 \times 4) = 6,113.6
   \]
   \[
   (1,328.40 \times 9) = 11,955.6
   \]
   \[
   (1,423.40 \times 1) = 1,423.4
   \]
   \[
   (1,434.40 \times 9) = 12,909.6
   \]
   \[
   (1,499.30 \times 1) = 1,499.3
   \]

   **Total Sum** = 9,000 + 6,113.6 + 11,955.6 + 1,423.4 + 12,909.6 + 1,499.3 = 42,901.5

2. **Average Daily Balance**:
   \[
   \text{Average Daily Balance} = \frac{42,901.5}{30} = 1,430.05
   \]

3. **Finance Charge**:
   \[
   \text{Finance Charge} = 1,430.05 \times 0.013875 = 19.84
   \]

### Answers

- **Average Daily Balance**: $1,430.05
- **Finance Charge for April**: $19.84

Would you like more details on any part of the calculation? 

Here are 5 additional questions to explore:
1. How would the finance charge change if the interest rate were compounded daily?
2. How is the average daily balance method different from other balance calculation methods?
3. What would happen if there were an additional transaction on April 15?
4. How does a higher credit card interest rate affect the monthly finance charge?
5. Can you find the finance charge for different months with different balances?

**Tip**: Always check the specific compounding method (monthly, daily, etc.) for credit cards, as it impacts the finance charge calculation.

You have a credit card that charges an interest rate of 16.65% compounded monthly. The table below shows your activity for the month of April. Calculate the average daily balance and the finance charge for the month of April.

Learn how to calculate the average daily balance and monthly finance charge for a credit card with an interest rate of 16.65%. This problem includes step-by-step calculations, ideal for high school students in Grades 11-12 or introductory finance courses.

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